Least Common Multiple of 49/956, 717/920, 870/390

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 49/956, 717/920, 870/390 quickly i.e. 5094285 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 49/956, 717/920, 870/390 is 5094285.

LCM(49/956, 717/920, 870/390) = 5094285

LCM of 49/956, 717/920, 870/390

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 49/956,717/920,870/390

Given numbers are 49/956,717/920,870/390

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 49,717,870

Least Common Multiple of Numerators i.e. LCM of 49,717,870 is 10188570.

GCF of Denominators means GCF of 956,920,390 as per the given fractions.

GCF of 956,920,390 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 49,717,870

LCM of Fractions 49/956,717/920,870/390 is 5094285

3 49, 717, 870
49, 239, 290

∴ So the LCM of the given numbers is 3 x 49 x 239 x 290 = 10188570

Least Common Multiple of 49,717,870 with GCF Formula

Least Common Multiple of 49,717,870 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 49,717,870 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,717,870) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(49,717,870) x common factors =1 x 3 = 3

LCM(49,717,870) = ( 49 × 717 × 870 ) / 3

LCM(49,717,870) = 30565710 / 3

LCM(49,717,870) = 10188570


Lets's calculate GCF of 956,920,390

2 956, 920, 390
478, 460, 195

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10188570/2

Therefore the LCM of Fractions 49/956,717/920,870/390 is 5094285

Greatest Common Factor of 956,920,390 By Matching Biggest Common Factor Method

Greatest Common Factor of 956,920,390 By Matching Biggest Common Factor Method

Factors of 956

List of positive integer factors of 956 that divides 956 without a remainder.

1,2,4,239,478,956

Factors of 920

List of positive integer factors of 920 that divides 920 without a remainder.

1,2,4,5,8,10,20,23,40,46,92,115,184,230,460,920

Factors of 390

List of positive integer factors of 390 that divides 390 without a remainder.

1,2,3,5,6,10,13,15,26,30,39,65,78,130,195,390

Greatest Common Factor

We found the factors 956,920,390 . The biggest common factor number is the GCF number.
So the greatest common factor 956,920,390 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 49/956, 717/920, 870/390

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 49/956, 717/920, 870/390?

Answer: LCM of Numerators as per given numbers 49/956, 717/920, 870/390 is

LCM of Numerators i.e. for 49,717,870 is 10188570

GCF of denominators i.e. for 956,920,390 is 2.

Thus, LCM of Fractions is 5094285.Finally, LCM of Fractions for 49/956, 717/920, 870/390 is 5094285.